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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q.217. (page 537)

Solve the square using the binomial squares pattern.
${(q + 12)}^{2}$

Short Answer

Expert verified

The solution is $q^{2} + 24 q + 144$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(q + 12)}^{2}$ .

02

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Solve it as follows:

$\to {(q + 12)}^{2} = {(q)}^{2} + 2 \times q \times 12 + (12) = q^{2} + 24 q + 144$

03

Step 3. Binomial squares expression

Hence, the binomial squares pattern are $q^{2} + 24 q + 144$ .

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Most popular questions from this chapter

In the following exercises, multiply the binomials. Use any method.

$(q - 5) (q + 8)$

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial

$(a) 64 k^{3} - 8 (b) 9 m^{3} + 4 m^{2} - 2 (c) \frac{5}{6} (d) 8 a^{4} - 7 a^{3} b - 6 a^{2} b^{2} - 4 a b^{3} + 7 b^{4} (e) - p^{4} q^{3}$

Convert (a) $5.2 \times 10^{2}$ (b) $2.5 \times 10^{- 2}$ to decimal form.

Convert (a) $- 8.3 \times 10^{2}$ (b) $3.8 \times 10^{- 2}$ to decimal form.

Find the product of the below expression.

${(2 r + 12)}^{2}$

See all solutions

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